In the diagram, PQRST is a regular polygon with sides QR and TS produced to meet at V. Find the size of < RVS
A. 36o B. 54o C. 60o D. 72o
Correct Answer: A
Explanation
PQRST is a regular polygon with 5 sides-pentagon n = 5, Each exterior angle = \(\frac{360^o}{n}\) = \(\frac{350}{5}\) = 70o Each interior angle = 180 - 72o ( < s on str. line) = 180o Since the pentagon is regular, the exterior angles are equal < R = 72o and < S = 72o < RVS = 180o - ( < R + < S) = 180o - (72o + 72o) = 180o - 144o = 36o